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Dielectric screening in two-dimensional insulators: Implications for excitonic and impurity states in graphane

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Cudazzo, Pierluigi, Tokatly, Ilya V., Rubio, Angel·2011·Physical Review B

Abstract

For atomic thin layer insulating materials we provide an exact analytic form of the two-dimensional (2D) screened potential. In contrast to three-dimensional systems where the macroscopic screening can be described by a static dielectric constant, in 2D systems the macroscopic screening is nonlocal ($q$ dependent) showing a logarithmic divergence for small distances and reaching the unscreened Coulomb potential for large distances. The crossover of these two regimes is dictated by 2D layer polarizability that can be easily computed by standard first-principles techniques. The present results have strong implications for describing gap-impurity levels and also exciton binding energies. The simple model derived here captures the main physical effects and reproduces well, for the case of graphane, the full many-body $\mathrm{GW}$ plus Bethe-Salpeter calculations. As an additional outcome we show that the impurity hole-doping in graphane leads to strongly localized states, which hampers applications in electronic devices. In spite of the inefficient and nonlocal two-dimensional macroscopic screening we demonstrate that a simple $\mathbf{k}\ifmmode\cdot\else\textperiodcentered\fi{}\mathbf{p}$ approach is capable to describe the electronic and transport properties of confined 2D systems.

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Metadata

Authors
Cudazzo, P., Tokatly, I. V., & Rubio, A.
Venue
Physical Review B
Published
2011-08-19
Volume
84
Issue
8
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W1964763238
Cited by
687
References
25
FWCI
3.87
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Dielectric screening in two-dimensional insulators: Implications for excitonic and impurity states in graphane. https://app.cochat.ai/papers/10.1103/physrevb.84.085406
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Cudazzo, P., Tokatly, I. V., & Rubio, A. (2011). Dielectric screening in two-dimensional insulators: Implications for excitonic and impurity states in graphane. Physical Review B. https://doi.org/10.1103/physrevb.84.085406

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